628053420 has 96 divisors (see below), whose sum is σ = 1788696000. Its totient is φ = 164634624.

The previous prime is 628053403. The next prime is 628053443. The reversal of 628053420 is 24350826.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799406 + ... + 1799754.

It is an arithmetic number, because the mean of its divisors is an integer number (18632250).

Almost surely, 2^628053420 is an apocalyptic number.

628053420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628053420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894348000).

628053420 is an abundant number, since it is smaller than the sum of its proper divisors (1160642580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628053420 is a wasteful number, since it uses less digits than its factorization.

628053420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 628053420 is about 25060.9939946523. The cubic root of 628053420 is about 856.3780519946.

The spelling of 628053420 in words is "six hundred twenty-eight million, fifty-three thousand, four hundred twenty".